The sides of the cubes are numbered 1 through 6. If they are both tossed, what is the probability that they will both be a 2?

I hope choice must be given so that we can select which equation can be used to find its value.

I am showing the steps for this problem.

Given that, x represents the width of the rectangle and the perimeter of the rectangle is 28 inches.

Let's assume y represent the length of the rectangle.

Formula to find the perimeter of a rectangle is,

p= 2 * length + 2 * width.

Hence, we can set up an equation as following.

2 y + 2x = 28.

Hope this is your question, if not I think you will, still be able to

find an answer of your question based on this solution.

Hope this helps you!.

Answer: The answer is 2 × (6 + x) + 2 × x = 28.

Step-by-step explanation:  Given that the length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, then we are to find the equation that finds the value of 'x'.

Since width of the rectangle is 'x' inches and length is 6 inches longer than the width, so length will be (6 + x) inches.

Also, perimeter is 28 inches, therefore, we have

[tex]2\times(6+x)+2\times x=28\\\\\Rightarrow 6+x+x=14\\\\\Rightarrow 2x=8\\\\\Rightarrow x=4.[/tex]

Thus, the value of x is 4 inches, hence width = 4 inches and length = 4 + 6 = 10 inches.

Answer:

Distribution 4, mean is 20 and standard deviation is 3.2

Step-by-step explanation:

The standard deviation tells us on average how far each of our data values is from the mean.  A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.

Final answer:

To solve the inequality 2 > 8 - 43h, subtract 8 from both sides and divide by -43, then flip the inequality sign. The solution is h > 6/43.

Explanation:

To solve the inequality 2 > 8 - 43h, we need to isolate the variable h. Let's start by subtracting 8 from both sides:

2 - 8 > 8 - 8 - 43h

-6 > -43h

Next, we divide both sides of the inequality by -43, but since we are dividing by a negative number, the inequality sign flips:

-6/-43 < -43h/-43

Simplifying the expression:

6/43 < h

The solution to the inequality is h > 6/43.

Answer:

X= -24

Step-by-step explanation:

The correct answer is:

a. all real numbers

When we reflect a function across the y-axis, the x-values change their signs. For the function [tex]\( f(x) = 6(0.25)^x \)[/tex], the domain consists of all real numbers since the function is defined for all real values of x.

When we reflect this function across the y-axis to get g(x), the domain of g(x) remains the same as the original function f(x). This is because reflecting across the y-axis does not affect the x-values for which the function is defined.

So, the correct answer is:

a. all real numbers

Answer:

c. Ellipse

Step-by-step explanation:

Answer:

option (c)

Step-by-step explanation:

It is an ellipse.

Option (c) is correct .

To solve for the rectangle's dimensions, the area 525 cm² is divided by the ratio of length to width (7:3), revealing a width of 15 cm and a length of 35 cm.

To find the length and width of a rectangle with an area of 525 square centimeters and a length-to-width ratio of 7:3, we can use proportions. Let's define the width as w centimeters. Then, since the ratio of the length to the width is 7:3, the length can be represented as (7/3)w centimeters.

The area of a rectangle is given by length  imes width. Therefore, we can set up the equation (7/3)w × w = 525 to represent the area. To find w, we solve for w² = (525 × 3) / 7, which gives us w² = 225.

By taking the square root of both sides, we see that w = 15 centimeters. Now to find the length, we use the ratio: length = (7/3) × 15 = 35 centimeters.

Answer:

The mean is 300 and the standard deviation is 8.67.

Step-by-step explanation:

It has been given that the drug has been found to be effective in treating 75% of the people afflicted by a certain disease.

Therefore, probability of success is given by p = 0.75

Now, total number of people affecting from the disease, n = 400

We know the formula for mean, which is given by

[tex]\mu=np\\\mu=400\times 0.75\\\mu=300[/tex]

And the standard deviation is

[tex]\sigma=\sqrt{np(1-p)}\\\sigma=\sqrt{400\cdot0.75(1-0.75)}\\\sigma=8.67[/tex]

Therefore, the mean is 300 and the standard deviation is 8.67.

Answer:

30

Step-by-step explanation:

2x+3+x<30

3x<27

x<9

The answer would be D. 

To solve the given system of linear equations, subtract one equation from the other to eliminate the y-variable, then solve for x and substitute back to find y. The solution is x = 2, y = -1.

To solve the system of equations 6x + 3y = 9 and 2x + 3y = 1, we can use the subtraction method. We want to find the values of x and y that satisfy both equations simultaneously. Observing that both equations have the term 3y, we can subtract the second equation from the first to eliminate the y-terms:

The solution to the system of equations is x = 2, y = -1.

Answer:

12 movies

Step-by-step explanation:

If you have to pay 1.99 per movie and that is our unknown, we can express that as 1.99x, where x is the number of movies (our independent variable).  If you rent 0 movies, you still have to pay the company $45.  So the equation for the number of movies you rent:

y = 1.99x  + 45 where y is the total cost of your cable for that month.  We know the cost for a certain month was 68.88 so our equation becomes

68.88 = 1.99x = 45 and

23.88 = 1.99x so

x = 12 movies

To calculate the number of movies you rented, first subtract the monthly fee of $45 from the total amount owed of $68.88, which leaves $23.88 for movie rentals. Since each movie costs $1.99, divide $23.88 by $1.99 to get approximately 12 movies rented.

The subject of this question is a simple algebraic problem involving a basic equation. To find out how many movies were rented, we first need to understand what charges make up the total charge of $68.88. Given that the cable company charges a monthly fee of $45 and each movie rental costs $1.99, we know that the total charge of $68.88 includes both the monthly fee and the cost of movie rentals.

To find out how many movies were rented, we subtract the monthly fee from the total owed: $68.88 - $45 = $23.88. This is the total cost for movie rentals. Since each movie costs $1.99, we divide the total cost of rentals by the cost per movie: $23.88 / $1.99. The answer is about 12, "so you rented approximately 12 movies".

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Answer:  The probability of getting 100 % on the quiz is 0.0625.

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Step-by-step explanation:

Since we have given that

Number of true-false questions = 4

Number of chances of answer = 2

1) True,

2) False

Probability of getting correct answer is given by

[tex]\frac{1}{2}[/tex]

Probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions is given by

[tex]\frac{1}{2}^4\\\\=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{16}\\\\=0.0625[/tex]

Hence, The probability of getting 100 % on the quiz is 0.0625.

Nadia needs 2 buckets of water to fill the fish tank.

To calculate the volume of water needed to fill the fish tank, we need to find the volume of the tank and subtract the volume of the empty space. The volume of the tank is 2 ft x 1 ft x 1.5 ft = 3 ft³. The volume of the empty space is 2 ft x 1 ft x 0.25 ft = 0.5 ft³. Therefore, the volume of water needed is 3 ft³ - 0.5 ft³ = 2.5 ft³.

Next, we divide the volume of water needed by the volume of water in each bucket to find the number of buckets needed. 2.5 ft³ divided by 1.25 ft³/bucket = 2 buckets. Therefore, Nadia needs 2 buckets of water to fill the fish tank.

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To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches.

To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches. First, we need to convert 9 feet to inches by multiplying it by 12 (since there are 12 inches in 1 foot). So, 9 feet = 9 x 12 = 108 inches. Next, we can divide 108 inches by 8 (since 1 link is approximately 8 inches) to find the number of links. 108 inches ÷ 8 = 13.5 links. Therefore, there are approximately 13.5 links in 9 feet.

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Final answer:

To factor the expression 4x² − 8x − 60 completely, factor out the greatest common factor of 4, then factor the resulting quadratic expression, which results in C. 4(x − 5)(x + 3).

Explanation:

The question asks you to factor completely the quadratic expression  [tex]4x^2 - 8x - 60[/tex]To factor this expression, first, look for any common factors among the terms. Here, the common factor is 4. Factoring out the 4 gives you [tex]4(x^2 - 2x - 15).[/tex]Next, we factor the quadratic expression within the parentheses.

We look for two numbers that multiply to give − 15 (the constant term) and add to give − 2 (the coefficient of x). These numbers are − 5 and + 3, so the expression factors further into 4(x − 5)(x + 3).

The completely factored form of the quadratic expression  [tex]4x^2 - 8x - 60[/tex] is C. 4(x − 5)(x + 3).

Lines with equations y=−4x−3 and 4x+y=−1 are neither parallel nor perpendicular to the line −x+4y=20. The line y=−14x+6 is also neither parallel nor perpendicular to the given line. The line −x+4y=8 is parallel to the given line.

To determine whether lines are parallel, perpendicular, or neither to the given line −x+4y=20, we'll need to look at their slopes. If the slopes are the same, the lines are parallel. If the product of the slopes is -1, the lines are perpendicular.

First, we should rewrite the given equation in y = mx + b format to identify the slope. The equation becomes y = 1/4x + 5. The slope for the given line is 1/4.

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